Question

prove sin(u-v)/cosvsinu = 1-tanv cotu

Answer 1

Best approach...use the idetity sin(u - v) = sin u cos v - sin v cos u

So the left side is just 1 - (sin v cos u/sin u cos v)

The left side simplifies to that by using

tan v = sin v/cos v

and cot u = cos u/sin u

On the left side, do 1 - (sinv/cos v)(cos u/sin v)..combine two fractions..and you get the left side.

Answer 2

excellent response thank you :)

Answer 3

Welcome.